But you must be aware of it - it's listed in this thread. You need to show why the consensus of scientific opinion is wrong and why it isn't evidence against geocentricity.
Oh - and the point around which the sun/earth system would orbit would, I imagine, be on a line between the centres of each body, and many, many times closer to the centre of the sun. Whether it's below or above the surface is easily calculated, but I don't see the need.